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Finding the Fourth Proportional to 205,413.26, 283,468.34 and 114,784.83

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Solution

The fourth proportional to 205,413.26, 283,468.34 and 114,784.83 is: 158,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,413.26 : 283,468.34 = 114,784.83 : x
  2. Step 2: Convert to fraction form
    205,413.26/283,468.34 = 114,784.83/x
  3. Step 3: Cross multiply
    205,413.26x = 283,468.34 × 114,784.83
  4. Step 4: Simplify right side
    205,413.26x = 32,537,865,504.24
  5. Step 5: Solve for x
    x = 32,537,865,504.24/205,413.26
  6. Step 6: Final answer
    x = 158,401.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.